101100091 has 8 divisors (see below), whose sum is σ = 102387600. Its totient is φ = 99818400.

The previous prime is 101100089. The next prime is 101100113. The reversal of 101100091 is 190001101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101100091 - 2¹ = 101100089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41125 + ... + 43513.

It is an arithmetic number, because the mean of its divisors is an integer number (12798450).

Almost surely, 2^101100091 is an apocalyptic number.

101100091 is a deficient number, since it is larger than the sum of its proper divisors (1287509).

101100091 is a wasteful number, since it uses less digits than its factorization.

101100091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909.

The product of its (nonzero) digits is 9, while the sum is 13.

The square root of 101100091 is about 10054.8541013781. The cubic root of 101100091 is about 465.8547365384.

Adding to 101100091 its reverse (190001101), we get a palindrome (291101192).

The spelling of 101100091 in words is "one hundred one million, one hundred thousand, ninety-one".